Closed Bosonic String Partition Function in Time Independent Exact PP-Wave Background

Details Closed Bosonic String Partition Function in Time Independent Exact PP-Wave Background Closed Bosonic String Partition Function in Time Independent Exact PP-Wave Background

2003-03-06

arxiv.org/abs/hep-th/0303043v3

Int.J.Mod.Phys. A21 (2006) 995-1014

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, added references

Scientific paper

The modular invariance of the one-loop partition function of the closed bosonic string in four dimensions in the presence of certain homogeneous exact pp-wave backgrounds is studied. In the absence of an axion field the partition function is found to be modular invariant. In the presence of an axion field modular invariace is broken. This can be attributed to the light-cone gauge which breaks the symmetry in the $\sigma$-, $t$-directions. Recovery of this broken modular invariance suggests the introduction of twists in the world-sheet directions. However, one needs to go beyond the light-cone gauge to introduce such twists.

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